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 Post subject: Wheel of Wisdom ParityPosted: Sat Mar 01, 2014 4:38 am

Joined: Mon Feb 28, 2011 4:54 am
As usual, I'm late to the party. Been getting this interesting parity in my wheel of wisdom solves. Anyone else getting it? Simply 2 swapped corners. All else is solved. I know why it happens but I'm curious whether others get it in their solves.
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 Post subject: Re: Wheel of Wisdom ParityPosted: Sat Mar 01, 2014 4:52 am

Joined: Tue Sep 11, 2012 1:51 pm
Location: Bedford, England
I've never had it, because I solve the 3x3 first, and keep it solved whilst solving the wheels.

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 Post subject: Re: Wheel of Wisdom ParityPosted: Sat Mar 01, 2014 4:52 am

Joined: Mon Jun 18, 2012 10:56 am
Location: The Netherlands

Tis is a fun puzzle, isn't it? I solved it by little triangles first, and then matching the inner cut off triangle with a corner piece and then put that in at once. I never got the situation that you show here so yes, that is one more person who doesn't have your method

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 Post subject: Re: Wheel of Wisdom ParityPosted: Sat Mar 01, 2014 5:06 am

Joined: Thu Sep 17, 2009 6:07 am
Location: Germany, Bavaria
Same for me:
martywolfman wrote:
I've never had it, because I solve the 3x3 first, and keep it solved whilst solving the wheels.

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 Post subject: Re: Wheel of Wisdom ParityPosted: Sat Mar 01, 2014 6:09 am

Joined: Mon Jun 18, 2012 10:56 am
Location: The Netherlands
I was talking about the last two faces. The rest of the puzzle gets solved layer by layer for the first bit, and then I rotate all the faces 90, solve the remainder of the layers using the top, and the last two faces as I described above.

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2x2 PB 04.27 - AO5 08.41 - AO12 09.92 || 4x4 PB 01:57.08 - AO5 02:13.55 - AO12 02:28.19
3x3 PB 20.29 - AO5 28.29 - AO12 29.85 || 5x5 PB 06:13.37 - AO5 07:14.92 || 6x6 PB 17:10.40

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 Post subject: Re: Wheel of Wisdom ParityPosted: Sat Mar 01, 2014 7:39 am

Joined: Mon Jul 22, 2013 5:00 am
Same for me:
martywolfman wrote:
I've never had it, because I solve the 3x3 first, and keep it solved whilst solving the wheels.

Also same for me.

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 Post subject: Re: Wheel of Wisdom ParityPosted: Sat Mar 01, 2014 4:22 pm

Joined: Mon Feb 28, 2011 4:54 am
Hmmm. So either everyone else is solving the stickerless version, or else my method is different to everyone else. That's probably more likely

martywolfman wrote:
I've never had it, because I solve the 3x3 first, and keep it solved whilst solving the wheels

I'm guessing that since the turning of the wheels is the most annoying part of this solve, you'd be turning the wheels a lot, which wouldn't be all that good. Of course, on the stickered version, there's not a 3x3, just a 2x2, unless I'm misunderstanding what you mean by the 3x3.

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 Post subject: Re: Wheel of Wisdom ParityPosted: Sun Mar 02, 2014 12:57 am

Joined: Mon Aug 18, 2008 10:16 pm
Location: Somewhere Else
If you give the upper cube layer a 90 degree twist you can then just 3-cycle the corners as if the cube were a funny shaped 3x3. Not sure how to fix the wheels after that though, but I bet it's not unlike solving the centers of a 5x5x5 at that point.

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 Post subject: Re: Wheel of Wisdom ParityPosted: Sun Mar 02, 2014 1:05 am

Joined: Mon Feb 28, 2011 4:54 am
Jared wrote:
If you give the upper cube layer a 90 degree twist you can then just 3-cycle the corners as if the cube were a funny shaped 3x3. Not sure how to fix the wheels after that though, but I bet it's not unlike solving the centers of a 5x5x5 at that point.

I want one of these...

Yep, like I said, I know how to fix it. The wheel edges will then just 3-cycle back into place, and the corners of the wheels can be 3-cycled into place with the CPS (U R U' L' U R' U' L) or similar. Since yesterday I've actually found a way to use the same method but avoid the parity, at a late but crucial spot.

Jared wrote:
I want one of these...

It's a great puzzle. It's also a pity it's so expensive. I think a lot more people would be into it if it was a little cheaper. I've just ordered the stickerless version, because I like the puzzle, and I don't like having to continually superglue back on the little stickers.

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 Post subject: Re: Wheel of Wisdom ParityPosted: Sun Mar 02, 2014 1:07 am

Joined: Fri Dec 20, 2013 11:47 pm
I do not have a stickered version I have the stickerless one, but if I were to have a stickered version my method would consist of solving the 2x2, then the small triangles on each side, then the four sided triangles, and then the outermost triangles. This method would not give the above issue as far as I know. I am curious as to how this happened? Do you use a different order of solving than I do? On my stickerless I often at the end of my solve get two swapped outermost triangles.

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 Post subject: Re: Wheel of Wisdom ParityPosted: Sun Mar 02, 2014 1:24 am

Joined: Mon Feb 28, 2011 4:54 am
garathnor wrote:
Do you use a different order of solving than I do?

Well at this stage I suspect I use a different method to everyone else. It seems to me that the "standard" method is to solve the base 3x3 (or 2x2 on the stickered version), then solve each wheel one by one. My method is to
* forget the base 2x2
* solve 4 little triangles on a face and tuck them away
* solve the edges on that same face (forgetting the corners)
* repeat for the other faces, so that all wheels are solved apart from their outermost corners
* reduce the corners crazy jupiter style
* solve the cube as a 3x3

garathnor wrote:
I am curious as to how this happened?

Since it's the stickered version, there are no coloured edges between the wheel edges, so this caused the parity of the 2 swapped edges. I know that in reality I also have 2 swapped edges, but those edges are black plastic and so can't be seen (if they were coloured, it'd be clear they were also swapped). Perhaps when my stickerless version arrives, I'll adopt a different method.

garathnor wrote:
On my stickerless I often at the end of my solve get two swapped outermost triangles.

I can understand that. Since they can easily be 3-cycled with another triangle of the same colour, that's just a normal 3-cycle endgame thing.

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 Post subject: Re: Wheel of Wisdom ParityPosted: Sun Mar 02, 2014 3:48 am

Joined: Tue Sep 11, 2012 1:51 pm
Location: Bedford, England
rline wrote:
I'm guessing that since the turning of the wheels is the most annoying part of this solve, you'd be turning the wheels a lot, which wouldn't be all that good. Of course, on the stickered version, there's not a 3x3, just a 2x2, unless I'm misunderstanding what you mean by the 3x3.

Well, the mechanism is 3x3, that's all I meant really, yes you ignore the M slices etc, but they are still there, that's all I meant really

Yeah, you turn the wheels a lot, but when I started solving it, my first thought wasn't 'ok, how can I solve this without turning those wheels very much'

rline wrote:
Well at this stage I suspect I use a different method to everyone else. It seems to me that the "standard" method is to solve the base 3x3 (or 2x2 on the stickered version), then solve each wheel one by one.

Yep, that's how I do it. It seemed logical to me when I first started solving it, since turning one wheel doesn't mess up any other parts of the puzzle, there didn't seem to be a need to try layer by layer or piece type by piece type.

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